Learning Goal: To learn and practice the geometry skills necessary for complex r

Question

Learning Goal:

To learn and practice the geometry skills necessary for complex reflection setups.

The law of reflection has the very simple form

incident=reflected,

where incident is the angle between the normal and the incident ray and reflected is the angle between the normal and the reflected ray. Although the law itself is easy to use, many realistic situations involve successive reflections from multiple surfaces. The law of reflection does not become any more complicated in such cases, but the geometry of the rays does become complicated. Consider the case of light shining onto a mirror, which is attached to another mirror at some angle, as shown in the figure (Figure 1) . In this problem, we will find the angle at which light leaves the arrangement of two mirrors.

Now, find the angle 4 shown in the figure (Figure 3) in terms of 1 and .

Express your answer in degrees in terms of 1 and .

Explanation / Answer

4 = (180 – – (90 – 1))

here 90 – 1 is 3 in terms of 1.

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